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Finding the Fourth Proportional to 275,977.30, 414,126.56 and 116,041.65

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Solution

The fourth proportional to 275,977.30, 414,126.56 and 116,041.65 is: 174,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,977.30 : 414,126.56 = 116,041.65 : x
  2. Step 2: Convert to fraction form
    275,977.30/414,126.56 = 116,041.65/x
  3. Step 3: Cross multiply
    275,977.30x = 414,126.56 × 116,041.65
  4. Step 4: Simplify right side
    275,977.30x = 48,055,929,652.27
  5. Step 5: Solve for x
    x = 48,055,929,652.27/275,977.30
  6. Step 6: Final answer
    x = 174,130.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.